7. A ferromagnetic core with a relative permeability of 2000. The dimensions are as shown in the figure with the depth of the core is 7 cm. The air gaps on the left and right sides of the core are 0.07 and 0.05 cm, respectively. Besause of fringing effects, the effective area of the air gaps is 5 percent larger than their physical size. If there are 400 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0A, what is the flux in each of the left, center and right legs of the core? What is the flux density in each air gap?

[Ans: left =1.515 x 10-3 Wb,center =3.31 x 10-3 Wb, right = 1.795 x 10-3 Wb,Bleft = 0.294T,Bright = 0.349T